Corollary 1.5 [1]}

Let \(\mathcal {A}\)  be a proper minor-closed class of graphs with 2-connected excluded minors, and let \(R_n \in _u\mathcal {A}\) .
Then \(\,\rm Frag(R_n)\)  converges in total variation to \(BP(\mathcal {A}, \rho _\mathcal {A})\)  as \(n \rightarrow \infty \) .
In particular we have \(\mathbb {P}(R_n \mbox{ is connected}) \rightarrow e^{-C(\rho _\mathcal {A})}\)  as \(n \rightarrow \infty \) , where \(C(x)\)  is the exponential generating function for
the class of connected graphs in \(\mathcal {A}\) .

